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68209400 = 2352783587
BaseRepresentation
bin1000001000011…
…00101011111000
311202100101201002
410010030223320
5114430200100
610433544132
71455525140
oct404145370
9152311632
1068209400
1135558806
121aa15048
13111927bc
1490b7920
155ec52d5
hex410caf8

68209400 has 96 divisors (see below), whose sum is σ = 183738240. Its totient is φ = 23064960.

The previous prime is 68209343. The next prime is 68209433. The reversal of 68209400 is 490286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115907 + ... + 116493.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 268209400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68209400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

68209400 is an abundant number, since it is smaller than the sum of its proper divisors (115528840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68209400 is a wasteful number, since it uses less digits than its factorization.

68209400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 68209400 is about 8258.8982316045. The cubic root of 68209400 is about 408.5840507570.

Adding to 68209400 its reverse (490286), we get a palindrome (68699686).

The spelling of 68209400 in words is "sixty-eight million, two hundred nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 140 166 175 200 280 332 350 415 581 587 664 700 830 1162 1174 1400 1660 2075 2324 2348 2905 2935 3320 4109 4150 4648 4696 5810 5870 8218 8300 11620 11740 14525 14675 16436 16600 20545 23240 23480 29050 29350 32872 41090 48721 58100 58700 82180 97442 102725 116200 117400 164360 194884 205450 243605 341047 389768 410900 487210 682094 821800 974420 1218025 1364188 1705235 1948840 2436050 2728376 3410470 4872100 6820940 8526175 9744200 13641880 17052350 34104700 68209400